The Nuclear Scissors Mode by Two Approaches (Wigner Function Moments versus RPA)

Journal Article · Thu Sep 01 00:00:00 EDT 2005 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/1.2053333· OSTI ID:20692866

Balbutsev, E B ^[1]; Schuck, P ^[2]

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1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980 (Russian Federation)
2. Institut de Physique Nucleaire, Orsay (France)

Two complementary methods to describe the collective motion, the RPA and the method of Wigner function moments, are compared using a simple model as an example--a harmonic oscillator with quadrupole-quadrupole residual interaction. It is shown that they give identical formulas for eigenfrequencies and transition probabilities of all collective excitations of the model, including the scissors mode, which is a subject of our special attention. The normalization factor of the 'synthetic' scissors state and its overlap with physical states are calculated analytically. The orthogonality of the spurious state to all physical states is proved rigorously.

• OSTI ID: 20692866
• Journal Information: Physics of Atomic Nuclei, Vol. 68, Issue 9; Other Information: Translated from Yadernaya Fizika, ISSN 0044-0027, 68, 1555-1567 (No. 9, 2005); DOI: 10.1134/1.2053333; (c) 2005 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); TN:; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
EIGENFREQUENCY
HARMONIC OSCILLATORS
PROBABILITY
QUADRUPOLES
RANDOM PHASE APPROXIMATION
RESIDUAL INTERACTIONS
SCISSION-POINT MODEL